Music: the first two tracks from the Murder By Death album Like the Excorcist, But More Breakdancing. Please visit their website, http://www.murderbydeath.com, to buy this band’s music and merchandise. While you’re there, I recommend checking their concert calendar, to see if they may be playing near you soon. Murder By Death concerts, which I’ve seen six times now, are not to be missed!

Visuals: rotating polyhedra, all with icosidodecahedral symmetry, generated using Stella 4d: Polyhedron Navigator, which you can try for yourself at http://www.software3d.com/Stella.php. The polyhedra shown are, in order of appearance:

1. The icosahedron
2. The compound of the icosahedron and its dual, the dodecahedron
3. The dodecahedron, with all faces the same color
4. The small stellated dodecahedron, or first stellation of the dodecahedron, in a single color
5. The small stellated dodecahedron, with only parallel faces having the same color (six-color arrangement)
6. The great dodecahedron, or second stellation of the dodecahedron, six-color arrangement
7. The great stellated dodecahedron, or third stellation of the dodecahedron, six-color arrangement
8. Stellating the dodecahedron a fourth time, to return it to its original form, but in the six-color arrangement this time
9. The icosidodecahedron, with triangular faces invisible, and pentagonal faces shown using the six-color arrangement
10. The icosidodecahedron, all faces visible now, and colored by face type
11. The fourth stellation of the icosidodecahedron (its first stellation is the dodecahedron, the second is the icosahedron, and the third is the compound of the first two, all of which have already been seen)
12. The fifth stellation of the icosidodecahedron
13. The convex hull of the fifth stellation of the icosidodecahedron, which is a slightly-truncated icosahedron
14. The truncated icosahedron which is a true Archimedean Solid, since all its faces are regular
15. The truncated icosahedron’s second stellation (the first is the already-seen icosahedron)